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Introduction

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Part of the book series: SpringerBriefs in Physics ((SpringerBriefs in Physics))

Abstract

Quantum computation Nielsen and Chuang (Quantum Computation and Quantum Information, [NC00]) provides a new way of computation based on so-called quantum bits (qubits).

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Notes

  1. 1.

    Actually, the term quantum logic was initially used by Birkhoff and von Neumann for investigations about logical anomalies of propositional logic that occur when reasoning about measurements of quantum systems—mostly related with the uncertainty principle [BN36].

  2. 2.

    Indeed, the term qubit first occurred in the 1990s and is credited to Ben Schumacher and William Wootters [Sch95].

  3. 3.

    Fortunately, this approximation is to some extent compensated by the robust design of quantum algorithms due to the non-deterministic measurements, anyway.

  4. 4.

    Nonetheless, approximation has recently also become a trend in classical computing, since approximate results are sometimes sufficient and realizable in shorter time or using fewer resources [GMP+11].

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Correspondence to Philipp Niemann .

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Niemann, P., Wille, R. (2017). Introduction. In: Compact Representations for the Design of Quantum Logic. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-63724-2_1

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